Question

Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Answer 1

Answer:

0.88%y + 0.03%

Step-by-step explanation:

if it's 12% then: she's actually paid 88% with a tax of 3%.

Hope it helps you

Answer 2

Given,

Jessica purchased a DVD that was on sale for 12% off.

The sales tax in her county is 3%.

Let, y represent the original price of the DVD.

To find,

An expression that can be used to determine the final cost of the DVD.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will form an algebraic expression, according to the given data.

So,

The original price of the DVD = y

Discount on the original price :

$= y \times \frac{12}{100}$

$= \frac{3y}{25}$

Price after discount :

$= y \: - \: \frac{3y}{25}$

$= \frac{25y - 3y}{25}$

$= \frac{22y}{25}$

Sales tax amount :

$= \frac{22y}{25} \times \frac{3}{100}$

$= \frac{11y}{25} \times \frac{3}{50}$

$= \frac{33y}{1250}$

Final price including the sales tax :

$= \frac{22y}{25} + \frac{33y}{1250}$

$= \frac{1100y + 33y}{1250}$

$= \frac{1133y}{1250}$

(This will be considered as the final result.)

Hence, the expression that can be used to determine the final cost of the DVD is (1133y/1250)